KarishmaB GMATNinja MartyTargetTestPrep1. What is the term 'relative' referring to? Relative in terms of "energy released relative to energy absorbed" or "energy released actually relative to the predicted release of energy"? How did you decide which one does it imply?
2. I am not clear on what the comparison is established between and how is that determined. There are 2 cases that can arise when we say 'relative' lack of energy. How do we know which one is intended:
a. Same energy in case of assumption and actual but less is being released in actual relative to absorbed energy. Ex. E=1000 and assumed release =10%=100 but actual =5%=50
b. In case of actual, energy is less,i.e, E=500 but in case of assumed, energy is higher, i.e, E =1000 and in both case the amount released =10% thus Actual release= 50 and Assumed release = 100. Here less energy is released relative to assumption.
In both cases actual < assumed but in the latter less is being released purely because less energy is being absorbed so firstly, how is that a problem? Secondly, in this case, probem would be solved by saying "Current assumptions about how much matter a black hole would engulf proved to be several thousand times too high" whereas, in the former case, the correct answer would be something like "Current assumptions about how much energy is released proved to be several thousand times too high". Both are different but seem plausible so how did you choose that we should choose to interpret it by case b?
In the above context is
ParikshitAgrawal 's numerical explanation correct?
ParikshitAgrawal wrote:
Hi Everyone,
Since I can see that the only debatable question here is 3 (
Diya52 ,
gmat1393 ,
legendinthewomb ), I will straight away reason out the options of Q3.
Pertinent lines from the passage to answer the question:Although according to current theory this makes the mass at the center of the galaxy too dense to be anything but a black hole, the relative lack of energy radiating from the galactic center presents a serious problem. A black hole's gravity attracts surrounding matter, which swirls around the black hole, emitting some energy as it is engulfed. Scientists believe that the amount of energy that escapes the black hole should be about 10 percent of the matter's rest energy.
Understanding:The author presents an 'evidence' that the mass of the galaxy's center is too dense and amount of energy radiating out is less than expected.
As this is clearly stated as evidence, this cannot be refuted or argued. Furthermore, they provide a cause behind any radiation of energy, which is a proportional amount of matter being engulfed by galaxy's center. From this, we can easily infer that they had assumed that the mass being engulfed is way much higher.
Working for assumption:For clear visualization, let us say that the mass engulfed by the galaxy's center which was assumed by the scientists was 1000 Kgs. Thus, the energy radiation must be nearly equal to the energy of the mass of 10Kgs (say 10X). But they could evidence only proportional to 5 Kgs (say 5X). Thus, there is a lack of energy radiations. Hence, what if the assumed engulfed mass was only 500 Kgs, then the realised values would hold true.
Now, let's move to the answer choices.
A) This is exactly matching our prethinking.
B) This is complete opposite of our answer.
(C) and (D) are completely wrong as the mass of galaxy's center is also accounted for.
E) This is a tricky option too. Many would opt for this that what if the energy for a proportion of particular mass of kgs is higher. However, you should pay attention to what the evidence is indicating. THE ENERGY RADIATED OUT OF THE GALAXY's CENTER WOULD STILL BE LESS THAN WHAT THEY WERE EXPECTING. Here, since there is no indication on amount of mass being engulfed, lets assume energy emitted is 50% of the energy of the mass being engulfed. Then per this option, and per our previous 'working for assumption', for 5X energy emissions observed, the mass being engulfed would be 10 Kgs. But does this give us an explanation to low energy radiation- NO.
Hence, A is the correct choice.
Hope this helps !!
Regards,
Parikshit